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Finding the Fourth Proportional to 123,880.25, 185,848.07 and 39,645.47

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Solution

The fourth proportional to 123,880.25, 185,848.07 and 39,645.47 is: 59,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,880.25 : 185,848.07 = 39,645.47 : x
  2. Step 2: Convert to fraction form
    123,880.25/185,848.07 = 39,645.47/x
  3. Step 3: Cross multiply
    123,880.25x = 185,848.07 × 39,645.47
  4. Step 4: Simplify right side
    123,880.25x = 7,368,034,083.74
  5. Step 5: Solve for x
    x = 7,368,034,083.74/123,880.25
  6. Step 6: Final answer
    x = 59,477.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.